What is the smallest positive integer such that (98*k)^(1/3) is an integer
98 = 2 * 7^2
k =2^2 x 7 = 28
( 98 * k)^(1/3) =
( 7^2 * 2 * k)^(1/3)
We need k to be 7 * 2^2 = 28
Check : (98 * 28)^(1/3) = (2744)^(1/3) = 14